Coefficient
Build Grade 9 math skills with Coefficient. Learn key concepts, work through practice problems, and apply algebraic thinking to solve equations and real-world problems.
Key Concepts
Property The numeric factor of a product including a variable is called the numeric coefficient, or simply the coefficient .
Examples In the term $14ab$, the coefficient is $14$. For the term $\frac{z}{4}$, the coefficient is $\frac{1}{4}$ because it's the same as $\frac{1}{4}z$. The term $uvw$ has an implied coefficient of $1$.
Explanation A coefficient is the number that's best friends with a variable, telling you how many of that variable you have. If you see $8y$, the coefficient is $8$. It's the numerical part being multiplied by the letter part. Watch out for invisible coefficients! If you just see a variable like $x$, its coefficient is a secret agent '1'.
Common Questions
What is a coefficient in algebra?
A coefficient is the numerical factor multiplied by a variable in a term. In 7x², the coefficient is 7. Coefficients can be positive, negative, or fractional.
How is a coefficient different from a constant?
A coefficient multiplies a variable (e.g., 3 in 3x), while a constant is a standalone number with no variable (e.g., the 5 in 3x + 5).
What is the coefficient of a term like -x?
The coefficient of -x is -1. When no number is written before a variable, the implied coefficient is 1 (or -1 for negative terms).